Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking

Li, Xiaofei1; Li, Jingzhi2; Zeng, Fang3

2019-05

10.4208/eajam.280418.190918

East Asian Journal on Applied Mathematics   影响因子和分区

2079-7362

2079-7370

Maxwell exterior transmission eigenvalue problems arising in scattering problem for a penetrable cavity are considered. Properties of such eigenvalues for a weak formulation of the transmission problem in unbounded domains are studied and the Calderon operator for Maxwell's system is described. In particular, the absence of pure imaginary eigenvalues and the discreteness of the set of exterior transmission eigenvalues are established. Applications to exterior invisibility cloaking are also considered. Using the Maxwell-Herglotz approximation, we can generate nearly non-scattering waves corresponding to the exterior eigenvalues of an electromagnetic medium.

Exterior transmission eigenvalue problem Calderon operator exterior invisibility cloaking

SCI ; CPCI-S

英语

通讯

fundamental research funds for the central university[106112016CDJXY100004]

Mathematics

Mathematics, Applied

WOS:000462355000008

GLOBAL SCIENCE PRESS

Web of Science

1.Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Zhejiang, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
3.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

Li, Xiaofei,Li, Jingzhi,Zeng, Fang. Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking[J]. East Asian Journal on Applied Mathematics,2019,9(2):312-329.

Li, Xiaofei,Li, Jingzhi,&Zeng, Fang.(2019).Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking.East Asian Journal on Applied Mathematics,9(2),312-329.

Li, Xiaofei,et al."Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking".East Asian Journal on Applied Mathematics 9.2(2019):312-329.